论文标题
模块化曲线同源性的封闭测量学的浓度
Concentration of closed geodesics in the homology of modular curves
论文作者
论文摘要
我们证明，与狭窄的实际二次场类的狭窄阶级组相关的封闭地球学的同源类别集中在爱森斯坦线周围。这符合杜克定理的框架，可以看作是Michel和Liu-Masri结果的真正二次类似物 - Young Young young young young young young young young young youngloce young younglocial cm- ellirtictic曲线的减少。我们还研究了SUP Norm问题的水平方面以及同源版本。最后，我们向小组理论和模块化形式提出了应用。
We prove that the homology classes of closed geodesics associated to subgroups of narrow class groups of real quadratic fields concentrate around the Eisenstein line. This fits into the framework of Duke's Theorem and can be seen as a real quadratic analogue of results of Michel and Liu--Masri--Young on supersingular reduction of CM-elliptic curves. We also study the level aspect, as well as a homological version of the sup norm problem. Finally we present applications to group theory and modular forms.
